cultmath_span_stage, cultmath_span_fbm and cultmath_span_ridged with SpanPath, SpanStage and
SpanNoise, statement for statement from math.span_stage (no shader identity). They follow the
includes, not cultmath_ridged_grad: the bounds read the SNOISE_* constants the includes define.
The mirror comparison matches every mirror function to the math function of the same name,
public or private, with struct parameters mapped by name and fields; MirrorOnly is gone.
New tests: identity and realistic-span mirror sweeps, a large-octave-step fold test; the
near-origin fold test gains scales 1e-4 and 1e-2; the integral_clamp_linear tests also read the
committed fixture's cases.
The GLSL, the fixture families and the docs follow: CommittedGlslEqualsLowering and
GoldenFixtureMatchesCSharp are red at this commit. It builds.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Stryker survivor on the previous head: direction t1 <= t0 changes a zero-length
sloped span from +0 to -0, which no test observed. Builds; test-only.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
glsl: line 307 only (the flat-branch guard). Fixture: one family appended
('zero-length spans and flat infinite clamps'), earlier families byte-identical.
Builds. Together with the previous commit the lowering and fixture tests pass.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
The b == 0 branch now guards t1 != t0 like the sloped branch (C# and both HLSL
copies), so an infinite bound times a zero length no longer forms NaN.
Edge-grid mirror test and a counting-clamp shadow test replace the text-order
check; the four pin tests assert equality with their measured expression;
tools/compile-hlsl.ps1 is the one dxc compile verdict for the HLSL copies.
Builds. CultMath.glsl and glsl-parity.json are not yet regenerated, so
CommittedGlslEqualsLowering and GoldenFixtureMatchesCSharp are red at this
commit; the next commit regenerates them.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
The fold test's float arm no longer re-spells the octave coordinate (OneOctave): each octave's float value is the difference of span_fbm / span_ridged at o + 1 and o octaves, with a stated bound on what the accumulating float sum loses.
New fixed span at halfLength 6 pins the Gl reach operator (nu / halfLength fails); a near-zero midpoint on a stationary path (halfLength 0, and halfLength 1 under a loose speed bound) pins the halfLength-0 fold rule and S_o's reach term.
Builds: yes (to be confirmed by the Yggdrasil job).
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
Kills the Stryker survivors of the first allowance commit: the velocity stretch sign, the norm at
a zero axis, gain-weight and acceleration-factor arithmetic, the octaveStep term of S_o. Not yet
built or run.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
span_fbm/span_ridged/span_stage lose the 14-argument signatures for SpanPath, SpanStage,
octaves, lacunarity, gain. Per octave S_o and e_n, e_g, e_h (af_snoise's derivation plus the
Hessian's 2^-10) widen the local Hessian tier, the gradient bound and the fold travel. Tests
compare against the exact double kernel in coordinate bands, add the pinned rank-one span,
widen the stage parameter ranges, and state the lab-form mapping. Not built or run yet.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
SpanFoldCoversAccelerationAlone draws spans with zero midpoint velocity and an acceleration along the gradient
that carries n across zero, so the fold's acceleration term and its gradient bound are the only thing holding
the branch departure under fold; two hand mutants survived without it.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
SpanStageGradientMatchesDifferences now also compares field.w and field.xyz with an octave sum assembled
in the test from Stage.Point and snoise_grad, so shift, offset, octaveStep, M, lacunarity and gain are pinned
numerically, which a value/gradient self-consistency check cannot do.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
The octave stages of a warp chain over a span, in C#: stretched, shifted, offset octave sums whose
field equals fbm_grad and ridged_grad bit for bit at the identity transform and whose curvature
and fold bounds derive from SNOISE_LIPSCHITZ, SNOISE_HESSIAN and SNOISE_THIRD only (local tier from
the midpoint Hessian's Frobenius norm plus the third-derivative term, capped by the global pin).
SpanStageTests encloses the Hessian norm and the branch departure over seeded spans in both regimes
and checks the gradient against differences and the stretch/axis conventions. README and design.md
state the span, the transform and the bound rules. No shader twin: stage-shaders is part 2.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
lo = min(lo, hi) now precedes the b == 0 branch in C# and HLSL (Unity copy byte-identical, GLSL
regenerated), so no clamp ever sees lo above hi; GLSL leaves that undefined. The b == 0 path used to
call clamp(a, lo, hi) with the raw bounds. New tests: the flat and sloped lo > hi values, the
statement-order check on the committed HLSL and GLSL, and an appended glsl-parity.json family of lo > hi
and infinite-bound edge cases (every earlier case byte-identical).
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
Each held stretch contributes only when its length is positive, so an infinite bound times a zero
length never forms: relu (hi = +inf) and its mirrors give the finite integral instead of NaN, in C#,
HLSL (Unity copy byte-identical) and the generated GLSL. Finite cases are unchanged.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
ThirdTensor is now snoise_hessian's per-corner derivation differentiated once more, in double, on the
kernel's lattice, tie order and hash; central differences of the float Hessian are gone from the
measurement and survive only as the oracle in ThirdTensorMatchesDifferencesOfTheHessian (Richardson
extrapolated differences of the double Hessian). MeasureThird on the closed form: refined 487.0917,
x 1.10 = 535.8009 (the differenced tensor read 488.1047, its roundoff). SNOISE_THIRD, ThirdWitness,
CULTMATH_SNOISE_THIRD (both HLSL copies), the generated GLSL constant and the design.md provenance
paragraph follow.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
The compiled mirror declares its static consts without public access; the first version of
EveryShaderConstantEqualsItsCSharpTwin found none and failed. Reflect NonPublic too.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
EveryShaderConstantEqualsItsCSharpTwin reflects each CULTMATH_* literal of the compiled HLSL
mirror and asserts it is bit-equal to the math constant of the same name, so CULTMATH_SNOISE_THIRD
(and every other constant) edited in one runtime fails.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
Their results carry the curvature constant; the platform-bound families stay as generated on Windows.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
CultMath.glsl is GlslLowering's output (CULTMATH_WRITE_GLSL=1, run on Yggdrasil); the fixture keeps every
earlier case byte for byte (the platform-bound families stay as generated on Windows) and appends the three
new families, which depend on no libm.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
MeasureThird on the tied kernel: refined 488.1047, x 1.10 = 536.9152, witness (-168.3755, -3.8205261,
-109.16948). MeasureHessian with the analytic Hessian: refined 50.58377, x 1.10 = 55.642143, witness
(-13.7920685, -9.672134, 61.563934); the central-difference value 56.050385 carried the quotient's
roundoff. README bullet for the span primitives. CultMath.glsl and the fixture are not yet regenerated.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
math.Span.cs adds the analytic Hessian of snoise(float3) on snoise_grad's tied kernel and the closed-form
integral of a clamped linear ramp; HLSL twins and the Unity copies follow, HessianNorm now reads the
library Hessian, the GLSL lowering gains float3x3 to mat3, and MeasureThird/ThirdConstantPinsSampled and
SpanPrimitiveTests land. SNOISE_THIRD is a placeholder (1) until MeasureThird runs; CultMath.glsl and the
fixture are not yet regenerated. Does not pass its tests.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
infinite.json holds 47 cases of infinite operands for cycles_power, cycles_modulo and Map Range Smooth Step, made inside Blender's kernel; only that family was regenerated. CultMath.Cycles.glsl changed by the generator alone (CULTMATH_WRITE_GLSL=1); glsl-parity.json and CultMath.glsl are byte-identical. This commit builds and its tests are expected green.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
cycles_power read b - 2 floor(0.5 b) != 0 as odd, which is NaN for b = +-inf, so a negative base got a negative result where Cycles' powf(a, +-inf) is never negative. Odd now means the remainder is exactly 1 (C#, HLSL, Unity copy). oracle.py gains the infinite family (operands made in-kernel as +-exp(100), results read through comparisons with 0) for power, modulo and Map Range Smooth Step; the infinite.json fixture and the regenerated GLSL follow in the next commit. This commit builds; InfiniteOperandsFollowBlender and CommittedGlslEqualsLowering fail until it lands.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Fixtures are the oracle's output (SSE4.2 kernel, Blender 5.2.2 Linux), two runs cmp-identical; CultMath.glsl line 1 (the
Cycles function list in the generated header) carries the three new names.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Fixtures and the regenerated GLSL follow in the next commit, so the tests that read the new rows
(InverseTrigonometry..., OperandStreams...) are red at this commit.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Byte-identical regeneration for the other five families. CyclesOracleTests and the mirror tests pass (29 of 29).
Builds.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
Stryker's survivors in math.Cycles.cs that were not equivalent: Burn's divisor <= 0 boundary, Logarithm's
a <= 0 guard, and rgb_to_hsv's h < 0 wrap. mix.json is regenerated in a later commit, so
FamilyMatchesBlender is unchanged here and the new Burn rows are absent. Builds.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
The oracle showed Cycles treats a huge exponent as integral for a negative base, so the speculative
b >= 2^31 rule is gone. CultMath.Cycles.glsl is stale at this commit (the HLSL changed), so
CommittedGlslEqualsLowering fails here; the regenerated file follows. Builds.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
A mutant of CultMath.Cycles.hlsl that changes a Cycles result the fixtures reach now fails a test on its own;
before, only the random-input mirror comparison reached the HLSL. Builds.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
Written by tools/cycles-oracle/oracle.py and GlslLowering on Yggdrasil; the tool's second run was
byte-identical. CultMath.Tests passes 379 of 379 at this commit's tree. Builds.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
The oracle's first fixtures showed Cycles' AVX2 kernel fuses multiply-adds and its film zeroes
non-finite results; the tool now exits 4 off the SSE4.2 kernel (CYCLES_CPU_NO_AVX2=1) and the
test skips cases Cycles cannot report. The Unity copy of CultMath.hlsl carries the new include.
Builds. Fixtures and CultMath.Cycles.glsl are still to come.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
Builds. The oracle fixtures and CultMath.Cycles.glsl are still to come, so the oracle and golden tests fail here.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
oracle.py bakes each Cycles node under Blender 5.2.2 LTS (build d13f752e3b9c, refusing any other)
into float images; CyclesOracleTests holds math.cycles_* to the fixtures it writes. No fixtures
exist at this commit, so the tests fail here; builds.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
Ports of Blender v5.2.2's intern/cycles kernel functions, one function per node
operation, with the HLSL mirror, the Unity copy, the lowering table entry for a
separate Apache-2.0 GLSL file, the golden-fixture families, the package licence
expressions and the notices section.
Builds. Does not pass yet: CultMath.Cycles.glsl and the regenerated golden
fixture arrive in a later commit, so CommittedGlslEqualsLowering and
GoldenFixtureMatchesCSharp fail at this commit.
Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
The 30 trace cases' FreeViolated lines (column, gradient magnitude, threshold) are pinned by exact equality beside the base-derived decisions they feed, so a free-set test that is mis-called from SolveTraced (a shifted threshold, a short free count) fails here and not only in the hand-built FreeSetViolated tests.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
The previous commit's BoundedLeastSquaresTraceTests.cs did not compile (raw newlines inside string and char literals). The source file compiled; the CultMath.Tests project did not. This commit builds.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
FreeSetViolated is the one owner of the free-set test and records each violating column with its gradient magnitude and the threshold it was judged against (SolveEvent.FreeViolated). Tests pin the column and the threshold by exact equality, one ulp each side of the tolerance at four scales, and the stall comparison f >= mark - allowance at mark == allowance and one ulp each way.
Builds are unverified until the batch's single verify job; this commit has not been compiled.
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
